Finding the Fourth Proportional to 10,409.61, 14,365.17 and 5,693.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409.61 : 14,365.17 = 5,693.93 : x
2. Step 2: Convert to fraction form
   10,409.61/14,365.17 = 5,693.93/x
3. Step 3: Cross multiply
   10,409.61x = 14,365.17 × 5,693.93
4. Step 4: Simplify right side
   10,409.61x = 81,794,200.59
5. Step 5: Solve for x
   x = 81,794,200.59/10,409.61
6. Step 6: Final answer
   x = 7,857.57